عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441933683
(Number (ISBN
9781475734287
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Variational Theory of Splines
General Material Designation
[Book]
First Statement of Responsibility
by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2001.
CONTENTS NOTE
Text of Note
1. Splines in Hilbert Spaces -- 2. Reproducing Mappings and Characterization of Splines -- 3. General Convergence Techniques and Error Estimates for Interpolating Splines -- 4. Splines in Subspaces -- 5. Interpolating DM-Splines -- 6. Splines on Manifolds -- 7. Vector Splines -- 8. Tensor and Blending Splines -- 9. Optimal Approximation of Linear Operators -- 10. Classification of Spline Objects -- 11. ??-Approximations and Data Compression -- 12. Algorithms for Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case.
0
SUMMARY OR ABSTRACT
Text of Note
Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace , - i st ence , uniquen e s s , and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a , P . J . Laur en t , a n d P . M. An selon e , bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441933683
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Electronic data processing.
Functional analysis.
Global analysis (Mathematics).
Mathematical optimization.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Bezhaev, Anatoly Yu.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Vasilenko, Vladimir A.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307163000.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
